15:30
Surface automorphisms and elementary number theory
Abstract
We will then give an account of two theorems of Fermat in terms of the automorphisms of $\mathbb{H}/\Gamma(2)$:
- if $p$ is a prime such that $4|(p-1)$ then can be written as a sum of squares $p = c^2 + d^2$
Finally we will discuss possible extensions to surfaces of the for m $\mathbb{H}/\Gamma_0(N)$.